Stringy corrections to the entropy of electrically charged supersymmetric black holes with $\mathrm{AdS}_5\times S^5$ asymptotics

TL;DR

This paper investigates stringy corrections to the entropy of supersymmetric black holes in AdS$_5\times S^5$, finding no corrections in the supersymmetric limit and consistency with the weak gravity conjecture at small temperatures.

Contribution

It demonstrates that leading string corrections do not affect the entropy of supersymmetric black holes in AdS$_5\times S^5$, confirming the robustness of the supersymmetric entropy calculation.

Findings

No $ ext{alpha}^ ext{'}$ corrections to entropy in supersymmetric limit

Entropy corrections align with the weak gravity conjecture at small temperatures

Supports the match between supergravity and gauge theory indices

Abstract

We study the leading $\alpha^\prime$ corrections to the entropy of certain black holes with AdS$_5\times S^5$ asymptotics. We find that, in the supersymmetric limit, the entropy does not receive $\alpha^\prime$ corrections. This result strengthens recent calculations that match the index of $\mathcal{N}=4$ Super-Yang-Mills with the corresponding partition function in the supersymmetric limit. In the small temperature regime, we find that the entropy corrections are concordant with the weak gravity conjecture.